K13n1231
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1231/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-7 t+13-7 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n1231/Conway Polynomial |
| Determinant | 29 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+2 a^4-z^4 a^2-4 z^2 a^2-2 a^2-2 z^2-1+z^4 a^{-2} +z^2 a^{-2} + a^{-2} +z^4 a^{-4} +2 z^2 a^{-4} +2 a^{-4} -z^2 a^{-6} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10}+a^3 z^9-8 z^9 a^{-1} -5 z^9 a^{-3} +2 z^9 a^{-5} +a^4 z^8+a^2 z^8-22 z^8 a^{-2} -11 z^8 a^{-4} +2 z^8 a^{-6} -9 z^8-7 a^3 z^7-a z^7+23 z^7 a^{-1} +7 z^7 a^{-3} -9 z^7 a^{-5} +z^7 a^{-7} -7 a^4 z^6-9 a^2 z^6+58 z^6 a^{-2} +20 z^6 a^{-4} -10 z^6 a^{-6} +26 z^6+14 a^3 z^5-31 z^5 a^{-1} -3 z^5 a^{-3} +9 z^5 a^{-5} -5 z^5 a^{-7} +15 a^4 z^4+20 a^2 z^4-66 z^4 a^{-2} -17 z^4 a^{-4} +13 z^4 a^{-6} -31 z^4-9 a^3 z^3+6 a z^3+22 z^3 a^{-1} -z^3 a^{-5} +6 z^3 a^{-7} -11 a^4 z^2-13 a^2 z^2+26 z^2 a^{-2} +3 z^2 a^{-4} -5 z^2 a^{-6} +16 z^2+2 a^3 z-3 a z-8 z a^{-1} -3 z a^{-3} -z a^{-5} -z a^{-7} +2 a^4+2 a^2- a^{-2} +2 a^{-4} + a^{-6} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
